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Finding the Fourth Proportional to 458,110.76, 687,209.87 and 142,482.92

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Solution

The fourth proportional to 458,110.76, 687,209.87 and 142,482.92 is: 213,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,110.76 : 687,209.87 = 142,482.92 : x
  2. Step 2: Convert to fraction form
    458,110.76/687,209.87 = 142,482.92/x
  3. Step 3: Cross multiply
    458,110.76x = 687,209.87 × 142,482.92
  4. Step 4: Simplify right side
    458,110.76x = 97,915,668,218.01
  5. Step 5: Solve for x
    x = 97,915,668,218.01/458,110.76
  6. Step 6: Final answer
    x = 213,737.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.